Question 133400: Does lovastatin (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study,
researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age
58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the
inactive pill. (a) State the appropriate hypotheses. (b) Obtain a test statistic and p-value. Interpret the results at α = .01. (c) Is normality assured? (d) Is the difference large enough to be important?
(e) What else would medical researchers need to know before prescribing this drug widely?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Does lovastation (a cholesterol-lowering drug) reduce the risk of heart attack? In a Texas study, researchers gave lovastatin to 2,325 people and an inactive substitute to 2,081 people (average age 58). After 5 years, 57 of the lovastatin group had suffered a heart attack, compared with 97 for the inactive pill.
(a) State the appropriate hypothesis.
Ho: p(lovastation)-P(placebo)>=0
Ha: p(lovastation)-p(placebo)<0 ; Ha is the Claim
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(b) Obtain a test statistic and p-value.
I ran a 2-Prop Z Test on a TI calculator to get the following:
test statistic: z=-3.9868
p-value = P(-10 < z < -3.9868) = 0.00033496
Interpret the ressults at a=.01
Because the p-value is less than 1%, Reject Ho.
The test results support the Claim that lovastation is effective.
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(c) is normality assured?
I'll let you answer that
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(d) Is the difference large enough to be important?
The test results show there is a statistically significant difference.
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(e) What else would medical researchers need to know before prescribing this drug widely?
I'll leave that to you.
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Cheers,
Stan H.
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